Question

The table below shows the choices made by 125 players on the first turn of a...

The table below shows the choices made by 125 players on the first turn of a Rock-Paper-Scissors game. Recall that rock beats scissors which beats paper which beats rock. A player gains an advantage in playing this game if there is evidence that the choices made on the first turn are not equally distributed among the three options. Use a goodness-of-fit test to see it there is evidence that any of the proportions are different from 13.

Option Selected Frequency
Rock 69
Paper 41
Scissors 15
Total 125

Calculate the chi-square test statistic and the p-value.

Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to three decimal places.

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